Catch trial performance

## [1] "Excluded 2 participants in might-biased condition."
## [1] "Excluded 1 participants in probably-biased condition."

Results

Comparison between conditions for each modal (raw ratings)

Comparison between conditions for each modal (normalized ratings)

Comparison between modals for each condition (raw ratings)

Comparison between modals for each condition (normalized ratings)

Tests

t-test for difference in expected value for “might” distributions:

## 
##  Two Sample t-test
## 
## data:  means.might_biased %>% filter(modal == "might") %>% .$mu and means.probably_biased %>% filter(modal == "might") %>% .$mu
## t = 3.0494, df = 75, p-value = 0.003167
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  0.02806755 0.13382953
## sample estimates:
## mean of x mean of y 
## 0.5536845 0.4727360

t-test for difference in expected value for “probably” distributions:

## 
##  Two Sample t-test
## 
## data:  means.might_biased %>% filter(modal == "probably") %>% .$mu and means.probably_biased %>% filter(modal == "probably") %>% .$mu
## t = 3.0772, df = 75, p-value = 0.002917
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  0.01859841 0.08688927
## sample estimates:
## mean of x mean of y 
## 0.7348931 0.6821492

Differences in variances?